Combining Texts

All the ideas for 'Intensional Logic', 'On Platonism in Mathematics' and 'On the Nature of the Gods ('De natura deorum')'

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30 ideas

2. Reason / F. Fallacies / 5. Fallacy of Composition
If the parts of the universe are subject to the law of nature, the whole universe must also be subject to it [Cicero]
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
If terms change their designations in different states, they are functions from states to objects [Fitting]
Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Classical logic is deliberately extensional, in order to model mathematics [Fitting]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
λ-abstraction disambiguates the scope of modal operators [Fitting]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Definite descriptions pick out different objects in different possible worlds [Fitting]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Why would mind mix with matter if it didn't need it? [Cicero]
19. Language / F. Communication / 1. Rhetoric
Eloquence educates, exhorts, comforts, distracts and unites us, and raises us from savagery [Cicero]
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
We have the death penalty, but still have thousands of robbers [Cicero]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Some regard nature simply as an irrational force that imparts movement [Cicero]
28. God / A. Divine Nature / 4. Divine Contradictions
Why shouldn't the gods fear their own destruction? [Cicero]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
I wonder whether loss of reverence for the gods would mean the end of all virtue [Cicero]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
God doesn't obey the laws of nature; they are subject to the law of God [Cicero]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
It seems clear to me that we have an innate idea of the divine [Cicero]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
Many primitive people know nothing of the gods [Cicero]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
It is obvious from order that someone is in charge, as when we visit a gymnasium [Cicero]
If a person cannot feel the power of God when looking at the stars, they are probably incapable of feeling [Cicero]
If the barbarians of Britain saw a complex machine, they would be baffled, but would know it was designed [Cicero]
Chance is no more likely to create the world than spilling lots of letters is likely to create a famous poem [Cicero]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
If everything with regular movement and order is divine, then recurrent illnesses must be divine [Cicero]
28. God / C. Attitudes to God / 1. Monotheism
Either the gods are identical, or one is more beautiful than another [Cicero]
28. God / C. Attitudes to God / 4. God Reflects Humanity
The gods are happy, so virtuous, so rational, so must have human shape [Cicero]
28. God / C. Attitudes to God / 5. Atheism
Why believe in gods if you have never seen them? [Cicero]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
The lists of good men who have suffered and bad men who have prospered are endless [Cicero]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
The gods blame men for having vices, but they could have given us enough reason to avoid them [Cicero]